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Simplifying 6w + -5(3x + -6w) + 5x = 0 Reorder the terms: 6w + -5(-6w + 3x) + 5x = 0 6w + (-6w * -5 + 3x * -5) + 5x = 0 6w + (30w + -15x) + 5x = 0 Combine like terms: 6w + 30w = 36w 36w + -15x + 5x = 0 Combine like terms: -15x + 5x = -10x 36w + -10x = 0 Solving 36w + -10x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10x' to each side of the equation. 36w + -10x + 10x = 0 + 10x Combine like terms: -10x + 10x = 0 36w + 0 = 0 + 10x 36w = 0 + 10x Remove the zero: 36w = 10x Divide each side by '36'. w = 0.2777777778x Simplifying w = 0.2777777778x
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